Developing an AI application

Going forward, AI algorithms will be incorporated into more and more everyday applications. For example, you might want to include an image classifier in a smart phone app. To do this, you'd use a deep learning model trained on hundreds of thousands of images as part of the overall application architecture. A large part of software development in the future will be using these types of models as common parts of applications.

In this project, you'll train an image classifier to recognize different species of flowers. You can imagine using something like this in a phone app that tells you the name of the flower your camera is looking at. In practice you'd train this classifier, then export it for use in your application. We'll be using this dataset of 102 flower categories, you can see a few examples below.

The project is broken down into multiple steps:

  • Load and preprocess the image dataset
  • Train the image classifier on your dataset
  • Use the trained classifier to predict image content

We'll lead you through each part which you'll implement in Python.

When you've completed this project, you'll have an application that can be trained on any set of labeled images. Here your network will be learning about flowers and end up as a command line application. But, what you do with your new skills depends on your imagination and effort in building a dataset. For example, imagine an app where you take a picture of a car, it tells you what the make and model is, then looks up information about it. Go build your own dataset and make something new.

First up is importing the packages you'll need. It's good practice to keep all the imports at the beginning of your code. As you work through this notebook and find you need to import a package, make sure to add the import up here.

In [7]:
# Imports here
from torchvision import datasets, transforms, models, utils
import torch
import numpy as np
from torch.autograd import Variable
from torch import nn, optim
from torch.optim import lr_scheduler
from collections import OrderedDict
import os, random, time, argparse
from PIL import Image
import matplotlib.pyplot as plt
from matplotlib.ticker import FormatStrFormatter
import torch.nn.functional as F
import copy
import json
from workspace_utils import active_session

device = torch.device("cuda:0" if torch.cuda.is_available() else "cpu")
print(device)
cuda:0

Load the data

Here you'll use torchvision to load the data (documentation). The data should be included alongside this notebook, otherwise you can download it here. The dataset is split into three parts, training, validation, and testing. For the training, you'll want to apply transformations such as random scaling, cropping, and flipping. This will help the network generalize leading to better performance. You'll also need to make sure the input data is resized to 224x224 pixels as required by the pre-trained networks.

The validation and testing sets are used to measure the model's performance on data it hasn't seen yet. For this you don't want any scaling or rotation transformations, but you'll need to resize then crop the images to the appropriate size.

The pre-trained networks you'll use were trained on the ImageNet dataset where each color channel was normalized separately. For all three sets you'll need to normalize the means and standard deviations of the images to what the network expects. For the means, it's [0.485, 0.456, 0.406] and for the standard deviations [0.229, 0.224, 0.225], calculated from the ImageNet images. These values will shift each color channel to be centered at 0 and range from -1 to 1.

In [8]:
data_dir = 'flowers'
train_dir = data_dir + '/train'
valid_dir = data_dir + '/valid'
test_dir = data_dir + '/test'

use_gpu = torch.cuda.is_available()
print(use_gpu)
True
In [9]:
# constants
CROP_SIZE = 224
RESIZE = 256
MEANS = [0.485, 0.456, 0.406]
ST_DEV = [0.229, 0.224, 0.225]
BATCH_SIZE = 64

# TODO: Define your transforms for the training, validation, and testing sets
data_transforms = {
    'training': transforms.Compose([
        transforms.RandomRotation(30),
        transforms.RandomResizedCrop(CROP_SIZE),
        transforms.RandomHorizontalFlip(),
        transforms.ToTensor(),
        transforms.Normalize(MEANS, ST_DEV)
    ]),
    'validation': transforms.Compose([
        transforms.Resize(RESIZE),
        transforms.CenterCrop(CROP_SIZE),
        transforms.ToTensor(),
        transforms.Normalize(MEANS, ST_DEV)
    ]),
    'testing': transforms.Compose([
        transforms.Resize(RESIZE),
        transforms.CenterCrop(CROP_SIZE),
        transforms.ToTensor(),
        transforms.Normalize(MEANS, ST_DEV)
    ]),
}

# TODO: Load the datasets with ImageFolder
image_datasets = {
    'training' : datasets.ImageFolder(train_dir, transform = data_transforms['training']),
    'testing' : datasets.ImageFolder(test_dir, transform = data_transforms['testing']),
    'validation' : datasets.ImageFolder(valid_dir, transform = data_transforms['validation'])
}

# TODO: Using the image datasets and the trainforms, define the dataloaders
dataloaders = {
    'training' : torch.utils.data.DataLoader(image_datasets['training'], batch_size = BATCH_SIZE, shuffle = True),
    'testing' : torch.utils.data.DataLoader(image_datasets['testing'], batch_size = BATCH_SIZE, shuffle = True),
    'validation' : torch.utils.data.DataLoader(image_datasets['validation'], batch_size = BATCH_SIZE, shuffle = True)
}
In [10]:
dataset_sizes = {x: len(image_datasets[x]) for x in ['training', 'testing', 'validation']}
print(dataset_sizes)
{'training': 6552, 'testing': 819, 'validation': 818}

Label mapping

You'll also need to load in a mapping from category label to category name. You can find this in the file cat_to_name.json. It's a JSON object which you can read in with the json module. This will give you a dictionary mapping the integer encoded categories to the actual names of the flowers.

In [11]:
import json

with open('cat_to_name.json', 'r') as f:
    cat_to_name = json.load(f)
In [12]:
print(cat_to_name)
{'21': 'fire lily', '3': 'canterbury bells', '45': 'bolero deep blue', '1': 'pink primrose', '34': 'mexican aster', '27': 'prince of wales feathers', '7': 'moon orchid', '16': 'globe-flower', '25': 'grape hyacinth', '26': 'corn poppy', '79': 'toad lily', '39': 'siam tulip', '24': 'red ginger', '67': 'spring crocus', '35': 'alpine sea holly', '32': 'garden phlox', '10': 'globe thistle', '6': 'tiger lily', '93': 'ball moss', '33': 'love in the mist', '9': 'monkshood', '102': 'blackberry lily', '14': 'spear thistle', '19': 'balloon flower', '100': 'blanket flower', '13': 'king protea', '49': 'oxeye daisy', '15': 'yellow iris', '61': 'cautleya spicata', '31': 'carnation', '64': 'silverbush', '68': 'bearded iris', '63': 'black-eyed susan', '69': 'windflower', '62': 'japanese anemone', '20': 'giant white arum lily', '38': 'great masterwort', '4': 'sweet pea', '86': 'tree mallow', '101': 'trumpet creeper', '42': 'daffodil', '22': 'pincushion flower', '2': 'hard-leaved pocket orchid', '54': 'sunflower', '66': 'osteospermum', '70': 'tree poppy', '85': 'desert-rose', '99': 'bromelia', '87': 'magnolia', '5': 'english marigold', '92': 'bee balm', '28': 'stemless gentian', '97': 'mallow', '57': 'gaura', '40': 'lenten rose', '47': 'marigold', '59': 'orange dahlia', '48': 'buttercup', '55': 'pelargonium', '36': 'ruby-lipped cattleya', '91': 'hippeastrum', '29': 'artichoke', '71': 'gazania', '90': 'canna lily', '18': 'peruvian lily', '98': 'mexican petunia', '8': 'bird of paradise', '30': 'sweet william', '17': 'purple coneflower', '52': 'wild pansy', '84': 'columbine', '12': "colt's foot", '11': 'snapdragon', '96': 'camellia', '23': 'fritillary', '50': 'common dandelion', '44': 'poinsettia', '53': 'primula', '72': 'azalea', '65': 'californian poppy', '80': 'anthurium', '76': 'morning glory', '37': 'cape flower', '56': 'bishop of llandaff', '60': 'pink-yellow dahlia', '82': 'clematis', '58': 'geranium', '75': 'thorn apple', '41': 'barbeton daisy', '95': 'bougainvillea', '43': 'sword lily', '83': 'hibiscus', '78': 'lotus lotus', '88': 'cyclamen', '94': 'foxglove', '81': 'frangipani', '74': 'rose', '89': 'watercress', '73': 'water lily', '46': 'wallflower', '77': 'passion flower', '51': 'petunia'}

Building and training the classifier

Now that the data is ready, it's time to build and train the classifier. As usual, you should use one of the pretrained models from torchvision.models to get the image features. Build and train a new feed-forward classifier using those features.

We're going to leave this part up to you. Refer to the rubric for guidance on successfully completing this section. Things you'll need to do:

  • Load a pre-trained network (If you need a starting point, the VGG networks work great and are straightforward to use)
  • Define a new, untrained feed-forward network as a classifier, using ReLU activations and dropout
  • Train the classifier layers using backpropagation using the pre-trained network to get the features
  • Track the loss and accuracy on the validation set to determine the best hyperparameters

We've left a cell open for you below, but use as many as you need. Our advice is to break the problem up into smaller parts you can run separately. Check that each part is doing what you expect, then move on to the next. You'll likely find that as you work through each part, you'll need to go back and modify your previous code. This is totally normal!

When training make sure you're updating only the weights of the feed-forward network. You should be able to get the validation accuracy above 70% if you build everything right. Make sure to try different hyperparameters (learning rate, units in the classifier, epochs, etc) to find the best model. Save those hyperparameters to use as default values in the next part of the project.

One last important tip if you're using the workspace to run your code: To avoid having your workspace disconnect during the long-running tasks in this notebook, please read in the earlier page in this lesson called Intro to GPU Workspaces about Keeping Your Session Active. You'll want to include code from the workspace_utils.py module.

Note for Workspace users: If your network is over 1 GB when saved as a checkpoint, there might be issues with saving backups in your workspace. Typically this happens with wide dense layers after the convolutional layers. If your saved checkpoint is larger than 1 GB (you can open a terminal and check with ls -lh), you should reduce the size of your hidden layers and train again.

In [13]:
# TODO: Build and train your network
model = models.densenet121(pretrained=True)
print("Our model: \n\n", model)
print("The state dict keys: \n\n", model.state_dict().keys())
/opt/conda/lib/python3.6/site-packages/torchvision-0.2.1-py3.6.egg/torchvision/models/densenet.py:212: UserWarning: nn.init.kaiming_normal is now deprecated in favor of nn.init.kaiming_normal_.
Our model: 

 DenseNet(
  (features): Sequential(
    (conv0): Conv2d(3, 64, kernel_size=(7, 7), stride=(2, 2), padding=(3, 3), bias=False)
    (norm0): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
    (relu0): ReLU(inplace)
    (pool0): MaxPool2d(kernel_size=3, stride=2, padding=1, dilation=1, ceil_mode=False)
    (denseblock1): _DenseBlock(
      (denselayer1): _DenseLayer(
        (norm1): BatchNorm2d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(64, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer2): _DenseLayer(
        (norm1): BatchNorm2d(96, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(96, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer3): _DenseLayer(
        (norm1): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(128, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer4): _DenseLayer(
        (norm1): BatchNorm2d(160, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(160, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer5): _DenseLayer(
        (norm1): BatchNorm2d(192, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(192, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer6): _DenseLayer(
        (norm1): BatchNorm2d(224, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(224, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
    )
    (transition1): _Transition(
      (norm): BatchNorm2d(256, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (relu): ReLU(inplace)
      (conv): Conv2d(256, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
      (pool): AvgPool2d(kernel_size=2, stride=2, padding=0)
    )
    (denseblock2): _DenseBlock(
      (denselayer1): _DenseLayer(
        (norm1): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(128, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer2): _DenseLayer(
        (norm1): BatchNorm2d(160, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(160, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer3): _DenseLayer(
        (norm1): BatchNorm2d(192, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(192, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer4): _DenseLayer(
        (norm1): BatchNorm2d(224, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(224, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer5): _DenseLayer(
        (norm1): BatchNorm2d(256, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(256, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer6): _DenseLayer(
        (norm1): BatchNorm2d(288, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(288, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer7): _DenseLayer(
        (norm1): BatchNorm2d(320, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(320, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer8): _DenseLayer(
        (norm1): BatchNorm2d(352, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(352, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer9): _DenseLayer(
        (norm1): BatchNorm2d(384, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(384, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer10): _DenseLayer(
        (norm1): BatchNorm2d(416, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(416, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer11): _DenseLayer(
        (norm1): BatchNorm2d(448, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(448, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer12): _DenseLayer(
        (norm1): BatchNorm2d(480, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(480, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
    )
    (transition2): _Transition(
      (norm): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (relu): ReLU(inplace)
      (conv): Conv2d(512, 256, kernel_size=(1, 1), stride=(1, 1), bias=False)
      (pool): AvgPool2d(kernel_size=2, stride=2, padding=0)
    )
    (denseblock3): _DenseBlock(
      (denselayer1): _DenseLayer(
        (norm1): BatchNorm2d(256, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(256, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer2): _DenseLayer(
        (norm1): BatchNorm2d(288, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(288, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer3): _DenseLayer(
        (norm1): BatchNorm2d(320, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(320, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer4): _DenseLayer(
        (norm1): BatchNorm2d(352, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(352, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer5): _DenseLayer(
        (norm1): BatchNorm2d(384, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(384, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer6): _DenseLayer(
        (norm1): BatchNorm2d(416, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(416, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer7): _DenseLayer(
        (norm1): BatchNorm2d(448, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(448, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer8): _DenseLayer(
        (norm1): BatchNorm2d(480, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(480, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer9): _DenseLayer(
        (norm1): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(512, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer10): _DenseLayer(
        (norm1): BatchNorm2d(544, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(544, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer11): _DenseLayer(
        (norm1): BatchNorm2d(576, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(576, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer12): _DenseLayer(
        (norm1): BatchNorm2d(608, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(608, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer13): _DenseLayer(
        (norm1): BatchNorm2d(640, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(640, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer14): _DenseLayer(
        (norm1): BatchNorm2d(672, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(672, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer15): _DenseLayer(
        (norm1): BatchNorm2d(704, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(704, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer16): _DenseLayer(
        (norm1): BatchNorm2d(736, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(736, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer17): _DenseLayer(
        (norm1): BatchNorm2d(768, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(768, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer18): _DenseLayer(
        (norm1): BatchNorm2d(800, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(800, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer19): _DenseLayer(
        (norm1): BatchNorm2d(832, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(832, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer20): _DenseLayer(
        (norm1): BatchNorm2d(864, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(864, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer21): _DenseLayer(
        (norm1): BatchNorm2d(896, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(896, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer22): _DenseLayer(
        (norm1): BatchNorm2d(928, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(928, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer23): _DenseLayer(
        (norm1): BatchNorm2d(960, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(960, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer24): _DenseLayer(
        (norm1): BatchNorm2d(992, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(992, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
    )
    (transition3): _Transition(
      (norm): BatchNorm2d(1024, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
      (relu): ReLU(inplace)
      (conv): Conv2d(1024, 512, kernel_size=(1, 1), stride=(1, 1), bias=False)
      (pool): AvgPool2d(kernel_size=2, stride=2, padding=0)
    )
    (denseblock4): _DenseBlock(
      (denselayer1): _DenseLayer(
        (norm1): BatchNorm2d(512, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(512, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer2): _DenseLayer(
        (norm1): BatchNorm2d(544, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(544, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer3): _DenseLayer(
        (norm1): BatchNorm2d(576, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(576, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer4): _DenseLayer(
        (norm1): BatchNorm2d(608, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(608, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer5): _DenseLayer(
        (norm1): BatchNorm2d(640, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(640, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer6): _DenseLayer(
        (norm1): BatchNorm2d(672, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(672, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer7): _DenseLayer(
        (norm1): BatchNorm2d(704, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(704, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer8): _DenseLayer(
        (norm1): BatchNorm2d(736, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(736, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer9): _DenseLayer(
        (norm1): BatchNorm2d(768, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(768, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer10): _DenseLayer(
        (norm1): BatchNorm2d(800, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(800, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer11): _DenseLayer(
        (norm1): BatchNorm2d(832, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(832, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer12): _DenseLayer(
        (norm1): BatchNorm2d(864, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(864, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer13): _DenseLayer(
        (norm1): BatchNorm2d(896, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(896, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer14): _DenseLayer(
        (norm1): BatchNorm2d(928, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(928, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer15): _DenseLayer(
        (norm1): BatchNorm2d(960, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(960, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
      (denselayer16): _DenseLayer(
        (norm1): BatchNorm2d(992, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu1): ReLU(inplace)
        (conv1): Conv2d(992, 128, kernel_size=(1, 1), stride=(1, 1), bias=False)
        (norm2): BatchNorm2d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
        (relu2): ReLU(inplace)
        (conv2): Conv2d(128, 32, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1), bias=False)
      )
    )
    (norm5): BatchNorm2d(1024, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)
  )
  (classifier): Linear(in_features=1024, out_features=1000, bias=True)
)
The state dict keys: 

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'features.denseblock4.denselayer3.norm1.running_mean', 'features.denseblock4.denselayer3.norm1.running_var', 'features.denseblock4.denselayer3.conv1.weight', 'features.denseblock4.denselayer3.norm2.weight', 'features.denseblock4.denselayer3.norm2.bias', 'features.denseblock4.denselayer3.norm2.running_mean', 'features.denseblock4.denselayer3.norm2.running_var', 'features.denseblock4.denselayer3.conv2.weight', 'features.denseblock4.denselayer4.norm1.weight', 'features.denseblock4.denselayer4.norm1.bias', 'features.denseblock4.denselayer4.norm1.running_mean', 'features.denseblock4.denselayer4.norm1.running_var', 'features.denseblock4.denselayer4.conv1.weight', 'features.denseblock4.denselayer4.norm2.weight', 'features.denseblock4.denselayer4.norm2.bias', 'features.denseblock4.denselayer4.norm2.running_mean', 'features.denseblock4.denselayer4.norm2.running_var', 'features.denseblock4.denselayer4.conv2.weight', 'features.denseblock4.denselayer5.norm1.weight', 'features.denseblock4.denselayer5.norm1.bias', 'features.denseblock4.denselayer5.norm1.running_mean', 'features.denseblock4.denselayer5.norm1.running_var', 'features.denseblock4.denselayer5.conv1.weight', 'features.denseblock4.denselayer5.norm2.weight', 'features.denseblock4.denselayer5.norm2.bias', 'features.denseblock4.denselayer5.norm2.running_mean', 'features.denseblock4.denselayer5.norm2.running_var', 'features.denseblock4.denselayer5.conv2.weight', 'features.denseblock4.denselayer6.norm1.weight', 'features.denseblock4.denselayer6.norm1.bias', 'features.denseblock4.denselayer6.norm1.running_mean', 'features.denseblock4.denselayer6.norm1.running_var', 'features.denseblock4.denselayer6.conv1.weight', 'features.denseblock4.denselayer6.norm2.weight', 'features.denseblock4.denselayer6.norm2.bias', 'features.denseblock4.denselayer6.norm2.running_mean', 'features.denseblock4.denselayer6.norm2.running_var', 'features.denseblock4.denselayer6.conv2.weight', 'features.denseblock4.denselayer7.norm1.weight', 'features.denseblock4.denselayer7.norm1.bias', 'features.denseblock4.denselayer7.norm1.running_mean', 'features.denseblock4.denselayer7.norm1.running_var', 'features.denseblock4.denselayer7.conv1.weight', 'features.denseblock4.denselayer7.norm2.weight', 'features.denseblock4.denselayer7.norm2.bias', 'features.denseblock4.denselayer7.norm2.running_mean', 'features.denseblock4.denselayer7.norm2.running_var', 'features.denseblock4.denselayer7.conv2.weight', 'features.denseblock4.denselayer8.norm1.weight', 'features.denseblock4.denselayer8.norm1.bias', 'features.denseblock4.denselayer8.norm1.running_mean', 'features.denseblock4.denselayer8.norm1.running_var', 'features.denseblock4.denselayer8.conv1.weight', 'features.denseblock4.denselayer8.norm2.weight', 'features.denseblock4.denselayer8.norm2.bias', 'features.denseblock4.denselayer8.norm2.running_mean', 'features.denseblock4.denselayer8.norm2.running_var', 'features.denseblock4.denselayer8.conv2.weight', 'features.denseblock4.denselayer9.norm1.weight', 'features.denseblock4.denselayer9.norm1.bias', 'features.denseblock4.denselayer9.norm1.running_mean', 'features.denseblock4.denselayer9.norm1.running_var', 'features.denseblock4.denselayer9.conv1.weight', 'features.denseblock4.denselayer9.norm2.weight', 'features.denseblock4.denselayer9.norm2.bias', 'features.denseblock4.denselayer9.norm2.running_mean', 'features.denseblock4.denselayer9.norm2.running_var', 'features.denseblock4.denselayer9.conv2.weight', 'features.denseblock4.denselayer10.norm1.weight', 'features.denseblock4.denselayer10.norm1.bias', 'features.denseblock4.denselayer10.norm1.running_mean', 'features.denseblock4.denselayer10.norm1.running_var', 'features.denseblock4.denselayer10.conv1.weight', 'features.denseblock4.denselayer10.norm2.weight', 'features.denseblock4.denselayer10.norm2.bias', 'features.denseblock4.denselayer10.norm2.running_mean', 'features.denseblock4.denselayer10.norm2.running_var', 'features.denseblock4.denselayer10.conv2.weight', 'features.denseblock4.denselayer11.norm1.weight', 'features.denseblock4.denselayer11.norm1.bias', 'features.denseblock4.denselayer11.norm1.running_mean', 'features.denseblock4.denselayer11.norm1.running_var', 'features.denseblock4.denselayer11.conv1.weight', 'features.denseblock4.denselayer11.norm2.weight', 'features.denseblock4.denselayer11.norm2.bias', 'features.denseblock4.denselayer11.norm2.running_mean', 'features.denseblock4.denselayer11.norm2.running_var', 'features.denseblock4.denselayer11.conv2.weight', 'features.denseblock4.denselayer12.norm1.weight', 'features.denseblock4.denselayer12.norm1.bias', 'features.denseblock4.denselayer12.norm1.running_mean', 'features.denseblock4.denselayer12.norm1.running_var', 'features.denseblock4.denselayer12.conv1.weight', 'features.denseblock4.denselayer12.norm2.weight', 'features.denseblock4.denselayer12.norm2.bias', 'features.denseblock4.denselayer12.norm2.running_mean', 'features.denseblock4.denselayer12.norm2.running_var', 'features.denseblock4.denselayer12.conv2.weight', 'features.denseblock4.denselayer13.norm1.weight', 'features.denseblock4.denselayer13.norm1.bias', 'features.denseblock4.denselayer13.norm1.running_mean', 'features.denseblock4.denselayer13.norm1.running_var', 'features.denseblock4.denselayer13.conv1.weight', 'features.denseblock4.denselayer13.norm2.weight', 'features.denseblock4.denselayer13.norm2.bias', 'features.denseblock4.denselayer13.norm2.running_mean', 'features.denseblock4.denselayer13.norm2.running_var', 'features.denseblock4.denselayer13.conv2.weight', 'features.denseblock4.denselayer14.norm1.weight', 'features.denseblock4.denselayer14.norm1.bias', 'features.denseblock4.denselayer14.norm1.running_mean', 'features.denseblock4.denselayer14.norm1.running_var', 'features.denseblock4.denselayer14.conv1.weight', 'features.denseblock4.denselayer14.norm2.weight', 'features.denseblock4.denselayer14.norm2.bias', 'features.denseblock4.denselayer14.norm2.running_mean', 'features.denseblock4.denselayer14.norm2.running_var', 'features.denseblock4.denselayer14.conv2.weight', 'features.denseblock4.denselayer15.norm1.weight', 'features.denseblock4.denselayer15.norm1.bias', 'features.denseblock4.denselayer15.norm1.running_mean', 'features.denseblock4.denselayer15.norm1.running_var', 'features.denseblock4.denselayer15.conv1.weight', 'features.denseblock4.denselayer15.norm2.weight', 'features.denseblock4.denselayer15.norm2.bias', 'features.denseblock4.denselayer15.norm2.running_mean', 'features.denseblock4.denselayer15.norm2.running_var', 'features.denseblock4.denselayer15.conv2.weight', 'features.denseblock4.denselayer16.norm1.weight', 'features.denseblock4.denselayer16.norm1.bias', 'features.denseblock4.denselayer16.norm1.running_mean', 'features.denseblock4.denselayer16.norm1.running_var', 'features.denseblock4.denselayer16.conv1.weight', 'features.denseblock4.denselayer16.norm2.weight', 'features.denseblock4.denselayer16.norm2.bias', 'features.denseblock4.denselayer16.norm2.running_mean', 'features.denseblock4.denselayer16.norm2.running_var', 'features.denseblock4.denselayer16.conv2.weight', 'features.norm5.weight', 'features.norm5.bias', 'features.norm5.running_mean', 'features.norm5.running_var', 'classifier.weight', 'classifier.bias'])
In [25]:
#!pip install torchsummary
#from torchsummary import summary
#summary(model, (3, 224, 224))
----------------------------------------------------------------
        Layer (type)               Output Shape         Param #
================================================================
            Conv2d-1         [-1, 64, 112, 112]           9,408
       BatchNorm2d-2         [-1, 64, 112, 112]             128
              ReLU-3         [-1, 64, 112, 112]               0
         MaxPool2d-4           [-1, 64, 56, 56]               0
       BatchNorm2d-5           [-1, 64, 56, 56]             128
              ReLU-6           [-1, 64, 56, 56]               0
            Conv2d-7          [-1, 128, 56, 56]           8,192
       BatchNorm2d-8          [-1, 128, 56, 56]             256
              ReLU-9          [-1, 128, 56, 56]               0
           Conv2d-10           [-1, 32, 56, 56]          36,864
      BatchNorm2d-11           [-1, 96, 56, 56]             192
             ReLU-12           [-1, 96, 56, 56]               0
           Conv2d-13          [-1, 128, 56, 56]          12,288
      BatchNorm2d-14          [-1, 128, 56, 56]             256
             ReLU-15          [-1, 128, 56, 56]               0
           Conv2d-16           [-1, 32, 56, 56]          36,864
      BatchNorm2d-17          [-1, 128, 56, 56]             256
             ReLU-18          [-1, 128, 56, 56]               0
           Conv2d-19          [-1, 128, 56, 56]          16,384
      BatchNorm2d-20          [-1, 128, 56, 56]             256
             ReLU-21          [-1, 128, 56, 56]               0
           Conv2d-22           [-1, 32, 56, 56]          36,864
      BatchNorm2d-23          [-1, 160, 56, 56]             320
             ReLU-24          [-1, 160, 56, 56]               0
           Conv2d-25          [-1, 128, 56, 56]          20,480
      BatchNorm2d-26          [-1, 128, 56, 56]             256
             ReLU-27          [-1, 128, 56, 56]               0
           Conv2d-28           [-1, 32, 56, 56]          36,864
      BatchNorm2d-29          [-1, 192, 56, 56]             384
             ReLU-30          [-1, 192, 56, 56]               0
           Conv2d-31          [-1, 128, 56, 56]          24,576
      BatchNorm2d-32          [-1, 128, 56, 56]             256
             ReLU-33          [-1, 128, 56, 56]               0
           Conv2d-34           [-1, 32, 56, 56]          36,864
      BatchNorm2d-35          [-1, 224, 56, 56]             448
             ReLU-36          [-1, 224, 56, 56]               0
           Conv2d-37          [-1, 128, 56, 56]          28,672
      BatchNorm2d-38          [-1, 128, 56, 56]             256
             ReLU-39          [-1, 128, 56, 56]               0
           Conv2d-40           [-1, 32, 56, 56]          36,864
      BatchNorm2d-41          [-1, 256, 56, 56]             512
             ReLU-42          [-1, 256, 56, 56]               0
           Conv2d-43          [-1, 128, 56, 56]          32,768
        AvgPool2d-44          [-1, 128, 28, 28]               0
      BatchNorm2d-45          [-1, 128, 28, 28]             256
             ReLU-46          [-1, 128, 28, 28]               0
           Conv2d-47          [-1, 128, 28, 28]          16,384
      BatchNorm2d-48          [-1, 128, 28, 28]             256
             ReLU-49          [-1, 128, 28, 28]               0
           Conv2d-50           [-1, 32, 28, 28]          36,864
      BatchNorm2d-51          [-1, 160, 28, 28]             320
             ReLU-52          [-1, 160, 28, 28]               0
           Conv2d-53          [-1, 128, 28, 28]          20,480
      BatchNorm2d-54          [-1, 128, 28, 28]             256
             ReLU-55          [-1, 128, 28, 28]               0
           Conv2d-56           [-1, 32, 28, 28]          36,864
      BatchNorm2d-57          [-1, 192, 28, 28]             384
             ReLU-58          [-1, 192, 28, 28]               0
           Conv2d-59          [-1, 128, 28, 28]          24,576
      BatchNorm2d-60          [-1, 128, 28, 28]             256
             ReLU-61          [-1, 128, 28, 28]               0
           Conv2d-62           [-1, 32, 28, 28]          36,864
      BatchNorm2d-63          [-1, 224, 28, 28]             448
             ReLU-64          [-1, 224, 28, 28]               0
           Conv2d-65          [-1, 128, 28, 28]          28,672
      BatchNorm2d-66          [-1, 128, 28, 28]             256
             ReLU-67          [-1, 128, 28, 28]               0
           Conv2d-68           [-1, 32, 28, 28]          36,864
      BatchNorm2d-69          [-1, 256, 28, 28]             512
             ReLU-70          [-1, 256, 28, 28]               0
           Conv2d-71          [-1, 128, 28, 28]          32,768
      BatchNorm2d-72          [-1, 128, 28, 28]             256
             ReLU-73          [-1, 128, 28, 28]               0
           Conv2d-74           [-1, 32, 28, 28]          36,864
      BatchNorm2d-75          [-1, 288, 28, 28]             576
             ReLU-76          [-1, 288, 28, 28]               0
           Conv2d-77          [-1, 128, 28, 28]          36,864
      BatchNorm2d-78          [-1, 128, 28, 28]             256
             ReLU-79          [-1, 128, 28, 28]               0
           Conv2d-80           [-1, 32, 28, 28]          36,864
      BatchNorm2d-81          [-1, 320, 28, 28]             640
             ReLU-82          [-1, 320, 28, 28]               0
           Conv2d-83          [-1, 128, 28, 28]          40,960
      BatchNorm2d-84          [-1, 128, 28, 28]             256
             ReLU-85          [-1, 128, 28, 28]               0
           Conv2d-86           [-1, 32, 28, 28]          36,864
      BatchNorm2d-87          [-1, 352, 28, 28]             704
             ReLU-88          [-1, 352, 28, 28]               0
           Conv2d-89          [-1, 128, 28, 28]          45,056
      BatchNorm2d-90          [-1, 128, 28, 28]             256
             ReLU-91          [-1, 128, 28, 28]               0
           Conv2d-92           [-1, 32, 28, 28]          36,864
      BatchNorm2d-93          [-1, 384, 28, 28]             768
             ReLU-94          [-1, 384, 28, 28]               0
           Conv2d-95          [-1, 128, 28, 28]          49,152
      BatchNorm2d-96          [-1, 128, 28, 28]             256
             ReLU-97          [-1, 128, 28, 28]               0
           Conv2d-98           [-1, 32, 28, 28]          36,864
      BatchNorm2d-99          [-1, 416, 28, 28]             832
            ReLU-100          [-1, 416, 28, 28]               0
          Conv2d-101          [-1, 128, 28, 28]          53,248
     BatchNorm2d-102          [-1, 128, 28, 28]             256
            ReLU-103          [-1, 128, 28, 28]               0
          Conv2d-104           [-1, 32, 28, 28]          36,864
     BatchNorm2d-105          [-1, 448, 28, 28]             896
            ReLU-106          [-1, 448, 28, 28]               0
          Conv2d-107          [-1, 128, 28, 28]          57,344
     BatchNorm2d-108          [-1, 128, 28, 28]             256
            ReLU-109          [-1, 128, 28, 28]               0
          Conv2d-110           [-1, 32, 28, 28]          36,864
     BatchNorm2d-111          [-1, 480, 28, 28]             960
            ReLU-112          [-1, 480, 28, 28]               0
          Conv2d-113          [-1, 128, 28, 28]          61,440
     BatchNorm2d-114          [-1, 128, 28, 28]             256
            ReLU-115          [-1, 128, 28, 28]               0
          Conv2d-116           [-1, 32, 28, 28]          36,864
     BatchNorm2d-117          [-1, 512, 28, 28]           1,024
            ReLU-118          [-1, 512, 28, 28]               0
          Conv2d-119          [-1, 256, 28, 28]         131,072
       AvgPool2d-120          [-1, 256, 14, 14]               0
     BatchNorm2d-121          [-1, 256, 14, 14]             512
            ReLU-122          [-1, 256, 14, 14]               0
          Conv2d-123          [-1, 128, 14, 14]          32,768
     BatchNorm2d-124          [-1, 128, 14, 14]             256
            ReLU-125          [-1, 128, 14, 14]               0
          Conv2d-126           [-1, 32, 14, 14]          36,864
     BatchNorm2d-127          [-1, 288, 14, 14]             576
            ReLU-128          [-1, 288, 14, 14]               0
          Conv2d-129          [-1, 128, 14, 14]          36,864
     BatchNorm2d-130          [-1, 128, 14, 14]             256
            ReLU-131          [-1, 128, 14, 14]               0
          Conv2d-132           [-1, 32, 14, 14]          36,864
     BatchNorm2d-133          [-1, 320, 14, 14]             640
            ReLU-134          [-1, 320, 14, 14]               0
          Conv2d-135          [-1, 128, 14, 14]          40,960
     BatchNorm2d-136          [-1, 128, 14, 14]             256
            ReLU-137          [-1, 128, 14, 14]               0
          Conv2d-138           [-1, 32, 14, 14]          36,864
     BatchNorm2d-139          [-1, 352, 14, 14]             704
            ReLU-140          [-1, 352, 14, 14]               0
          Conv2d-141          [-1, 128, 14, 14]          45,056
     BatchNorm2d-142          [-1, 128, 14, 14]             256
            ReLU-143          [-1, 128, 14, 14]               0
          Conv2d-144           [-1, 32, 14, 14]          36,864
     BatchNorm2d-145          [-1, 384, 14, 14]             768
            ReLU-146          [-1, 384, 14, 14]               0
          Conv2d-147          [-1, 128, 14, 14]          49,152
     BatchNorm2d-148          [-1, 128, 14, 14]             256
            ReLU-149          [-1, 128, 14, 14]               0
          Conv2d-150           [-1, 32, 14, 14]          36,864
     BatchNorm2d-151          [-1, 416, 14, 14]             832
            ReLU-152          [-1, 416, 14, 14]               0
          Conv2d-153          [-1, 128, 14, 14]          53,248
     BatchNorm2d-154          [-1, 128, 14, 14]             256
            ReLU-155          [-1, 128, 14, 14]               0
          Conv2d-156           [-1, 32, 14, 14]          36,864
     BatchNorm2d-157          [-1, 448, 14, 14]             896
            ReLU-158          [-1, 448, 14, 14]               0
          Conv2d-159          [-1, 128, 14, 14]          57,344
     BatchNorm2d-160          [-1, 128, 14, 14]             256
            ReLU-161          [-1, 128, 14, 14]               0
          Conv2d-162           [-1, 32, 14, 14]          36,864
     BatchNorm2d-163          [-1, 480, 14, 14]             960
            ReLU-164          [-1, 480, 14, 14]               0
          Conv2d-165          [-1, 128, 14, 14]          61,440
     BatchNorm2d-166          [-1, 128, 14, 14]             256
            ReLU-167          [-1, 128, 14, 14]               0
          Conv2d-168           [-1, 32, 14, 14]          36,864
     BatchNorm2d-169          [-1, 512, 14, 14]           1,024
            ReLU-170          [-1, 512, 14, 14]               0
          Conv2d-171          [-1, 128, 14, 14]          65,536
     BatchNorm2d-172          [-1, 128, 14, 14]             256
            ReLU-173          [-1, 128, 14, 14]               0
          Conv2d-174           [-1, 32, 14, 14]          36,864
     BatchNorm2d-175          [-1, 544, 14, 14]           1,088
            ReLU-176          [-1, 544, 14, 14]               0
          Conv2d-177          [-1, 128, 14, 14]          69,632
     BatchNorm2d-178          [-1, 128, 14, 14]             256
            ReLU-179          [-1, 128, 14, 14]               0
          Conv2d-180           [-1, 32, 14, 14]          36,864
     BatchNorm2d-181          [-1, 576, 14, 14]           1,152
            ReLU-182          [-1, 576, 14, 14]               0
          Conv2d-183          [-1, 128, 14, 14]          73,728
     BatchNorm2d-184          [-1, 128, 14, 14]             256
            ReLU-185          [-1, 128, 14, 14]               0
          Conv2d-186           [-1, 32, 14, 14]          36,864
     BatchNorm2d-187          [-1, 608, 14, 14]           1,216
            ReLU-188          [-1, 608, 14, 14]               0
          Conv2d-189          [-1, 128, 14, 14]          77,824
     BatchNorm2d-190          [-1, 128, 14, 14]             256
            ReLU-191          [-1, 128, 14, 14]               0
          Conv2d-192           [-1, 32, 14, 14]          36,864
     BatchNorm2d-193          [-1, 640, 14, 14]           1,280
            ReLU-194          [-1, 640, 14, 14]               0
          Conv2d-195          [-1, 128, 14, 14]          81,920
     BatchNorm2d-196          [-1, 128, 14, 14]             256
            ReLU-197          [-1, 128, 14, 14]               0
          Conv2d-198           [-1, 32, 14, 14]          36,864
     BatchNorm2d-199          [-1, 672, 14, 14]           1,344
            ReLU-200          [-1, 672, 14, 14]               0
          Conv2d-201          [-1, 128, 14, 14]          86,016
     BatchNorm2d-202          [-1, 128, 14, 14]             256
            ReLU-203          [-1, 128, 14, 14]               0
          Conv2d-204           [-1, 32, 14, 14]          36,864
     BatchNorm2d-205          [-1, 704, 14, 14]           1,408
            ReLU-206          [-1, 704, 14, 14]               0
          Conv2d-207          [-1, 128, 14, 14]          90,112
     BatchNorm2d-208          [-1, 128, 14, 14]             256
            ReLU-209          [-1, 128, 14, 14]               0
          Conv2d-210           [-1, 32, 14, 14]          36,864
     BatchNorm2d-211          [-1, 736, 14, 14]           1,472
            ReLU-212          [-1, 736, 14, 14]               0
          Conv2d-213          [-1, 128, 14, 14]          94,208
     BatchNorm2d-214          [-1, 128, 14, 14]             256
            ReLU-215          [-1, 128, 14, 14]               0
          Conv2d-216           [-1, 32, 14, 14]          36,864
     BatchNorm2d-217          [-1, 768, 14, 14]           1,536
            ReLU-218          [-1, 768, 14, 14]               0
          Conv2d-219          [-1, 128, 14, 14]          98,304
     BatchNorm2d-220          [-1, 128, 14, 14]             256
            ReLU-221          [-1, 128, 14, 14]               0
          Conv2d-222           [-1, 32, 14, 14]          36,864
     BatchNorm2d-223          [-1, 800, 14, 14]           1,600
            ReLU-224          [-1, 800, 14, 14]               0
          Conv2d-225          [-1, 128, 14, 14]         102,400
     BatchNorm2d-226          [-1, 128, 14, 14]             256
            ReLU-227          [-1, 128, 14, 14]               0
          Conv2d-228           [-1, 32, 14, 14]          36,864
     BatchNorm2d-229          [-1, 832, 14, 14]           1,664
            ReLU-230          [-1, 832, 14, 14]               0
          Conv2d-231          [-1, 128, 14, 14]         106,496
     BatchNorm2d-232          [-1, 128, 14, 14]             256
            ReLU-233          [-1, 128, 14, 14]               0
          Conv2d-234           [-1, 32, 14, 14]          36,864
     BatchNorm2d-235          [-1, 864, 14, 14]           1,728
            ReLU-236          [-1, 864, 14, 14]               0
          Conv2d-237          [-1, 128, 14, 14]         110,592
     BatchNorm2d-238          [-1, 128, 14, 14]             256
            ReLU-239          [-1, 128, 14, 14]               0
          Conv2d-240           [-1, 32, 14, 14]          36,864
     BatchNorm2d-241          [-1, 896, 14, 14]           1,792
            ReLU-242          [-1, 896, 14, 14]               0
          Conv2d-243          [-1, 128, 14, 14]         114,688
     BatchNorm2d-244          [-1, 128, 14, 14]             256
            ReLU-245          [-1, 128, 14, 14]               0
          Conv2d-246           [-1, 32, 14, 14]          36,864
     BatchNorm2d-247          [-1, 928, 14, 14]           1,856
            ReLU-248          [-1, 928, 14, 14]               0
          Conv2d-249          [-1, 128, 14, 14]         118,784
     BatchNorm2d-250          [-1, 128, 14, 14]             256
            ReLU-251          [-1, 128, 14, 14]               0
          Conv2d-252           [-1, 32, 14, 14]          36,864
     BatchNorm2d-253          [-1, 960, 14, 14]           1,920
            ReLU-254          [-1, 960, 14, 14]               0
          Conv2d-255          [-1, 128, 14, 14]         122,880
     BatchNorm2d-256          [-1, 128, 14, 14]             256
            ReLU-257          [-1, 128, 14, 14]               0
          Conv2d-258           [-1, 32, 14, 14]          36,864
     BatchNorm2d-259          [-1, 992, 14, 14]           1,984
            ReLU-260          [-1, 992, 14, 14]               0
          Conv2d-261          [-1, 128, 14, 14]         126,976
     BatchNorm2d-262          [-1, 128, 14, 14]             256
            ReLU-263          [-1, 128, 14, 14]               0
          Conv2d-264           [-1, 32, 14, 14]          36,864
     BatchNorm2d-265         [-1, 1024, 14, 14]           2,048
            ReLU-266         [-1, 1024, 14, 14]               0
          Conv2d-267          [-1, 512, 14, 14]         524,288
       AvgPool2d-268            [-1, 512, 7, 7]               0
     BatchNorm2d-269            [-1, 512, 7, 7]           1,024
            ReLU-270            [-1, 512, 7, 7]               0
          Conv2d-271            [-1, 128, 7, 7]          65,536
     BatchNorm2d-272            [-1, 128, 7, 7]             256
            ReLU-273            [-1, 128, 7, 7]               0
          Conv2d-274             [-1, 32, 7, 7]          36,864
     BatchNorm2d-275            [-1, 544, 7, 7]           1,088
            ReLU-276            [-1, 544, 7, 7]               0
          Conv2d-277            [-1, 128, 7, 7]          69,632
     BatchNorm2d-278            [-1, 128, 7, 7]             256
            ReLU-279            [-1, 128, 7, 7]               0
          Conv2d-280             [-1, 32, 7, 7]          36,864
     BatchNorm2d-281            [-1, 576, 7, 7]           1,152
            ReLU-282            [-1, 576, 7, 7]               0
          Conv2d-283            [-1, 128, 7, 7]          73,728
     BatchNorm2d-284            [-1, 128, 7, 7]             256
            ReLU-285            [-1, 128, 7, 7]               0
          Conv2d-286             [-1, 32, 7, 7]          36,864
     BatchNorm2d-287            [-1, 608, 7, 7]           1,216
            ReLU-288            [-1, 608, 7, 7]               0
          Conv2d-289            [-1, 128, 7, 7]          77,824
     BatchNorm2d-290            [-1, 128, 7, 7]             256
            ReLU-291            [-1, 128, 7, 7]               0
          Conv2d-292             [-1, 32, 7, 7]          36,864
     BatchNorm2d-293            [-1, 640, 7, 7]           1,280
            ReLU-294            [-1, 640, 7, 7]               0
          Conv2d-295            [-1, 128, 7, 7]          81,920
     BatchNorm2d-296            [-1, 128, 7, 7]             256
            ReLU-297            [-1, 128, 7, 7]               0
          Conv2d-298             [-1, 32, 7, 7]          36,864
     BatchNorm2d-299            [-1, 672, 7, 7]           1,344
            ReLU-300            [-1, 672, 7, 7]               0
          Conv2d-301            [-1, 128, 7, 7]          86,016
     BatchNorm2d-302            [-1, 128, 7, 7]             256
            ReLU-303            [-1, 128, 7, 7]               0
          Conv2d-304             [-1, 32, 7, 7]          36,864
     BatchNorm2d-305            [-1, 704, 7, 7]           1,408
            ReLU-306            [-1, 704, 7, 7]               0
          Conv2d-307            [-1, 128, 7, 7]          90,112
     BatchNorm2d-308            [-1, 128, 7, 7]             256
            ReLU-309            [-1, 128, 7, 7]               0
          Conv2d-310             [-1, 32, 7, 7]          36,864
     BatchNorm2d-311            [-1, 736, 7, 7]           1,472
            ReLU-312            [-1, 736, 7, 7]               0
          Conv2d-313            [-1, 128, 7, 7]          94,208
     BatchNorm2d-314            [-1, 128, 7, 7]             256
            ReLU-315            [-1, 128, 7, 7]               0
          Conv2d-316             [-1, 32, 7, 7]          36,864
     BatchNorm2d-317            [-1, 768, 7, 7]           1,536
            ReLU-318            [-1, 768, 7, 7]               0
          Conv2d-319            [-1, 128, 7, 7]          98,304
     BatchNorm2d-320            [-1, 128, 7, 7]             256
            ReLU-321            [-1, 128, 7, 7]               0
          Conv2d-322             [-1, 32, 7, 7]          36,864
     BatchNorm2d-323            [-1, 800, 7, 7]           1,600
            ReLU-324            [-1, 800, 7, 7]               0
          Conv2d-325            [-1, 128, 7, 7]         102,400
     BatchNorm2d-326            [-1, 128, 7, 7]             256
            ReLU-327            [-1, 128, 7, 7]               0
          Conv2d-328             [-1, 32, 7, 7]          36,864
     BatchNorm2d-329            [-1, 832, 7, 7]           1,664
            ReLU-330            [-1, 832, 7, 7]               0
          Conv2d-331            [-1, 128, 7, 7]         106,496
     BatchNorm2d-332            [-1, 128, 7, 7]             256
            ReLU-333            [-1, 128, 7, 7]               0
          Conv2d-334             [-1, 32, 7, 7]          36,864
     BatchNorm2d-335            [-1, 864, 7, 7]           1,728
            ReLU-336            [-1, 864, 7, 7]               0
          Conv2d-337            [-1, 128, 7, 7]         110,592
     BatchNorm2d-338            [-1, 128, 7, 7]             256
            ReLU-339            [-1, 128, 7, 7]               0
          Conv2d-340             [-1, 32, 7, 7]          36,864
     BatchNorm2d-341            [-1, 896, 7, 7]           1,792
            ReLU-342            [-1, 896, 7, 7]               0
          Conv2d-343            [-1, 128, 7, 7]         114,688
     BatchNorm2d-344            [-1, 128, 7, 7]             256
            ReLU-345            [-1, 128, 7, 7]               0
          Conv2d-346             [-1, 32, 7, 7]          36,864
     BatchNorm2d-347            [-1, 928, 7, 7]           1,856
            ReLU-348            [-1, 928, 7, 7]               0
          Conv2d-349            [-1, 128, 7, 7]         118,784
     BatchNorm2d-350            [-1, 128, 7, 7]             256
            ReLU-351            [-1, 128, 7, 7]               0
          Conv2d-352             [-1, 32, 7, 7]          36,864
     BatchNorm2d-353            [-1, 960, 7, 7]           1,920
            ReLU-354            [-1, 960, 7, 7]               0
          Conv2d-355            [-1, 128, 7, 7]         122,880
     BatchNorm2d-356            [-1, 128, 7, 7]             256
            ReLU-357            [-1, 128, 7, 7]               0
          Conv2d-358             [-1, 32, 7, 7]          36,864
     BatchNorm2d-359            [-1, 992, 7, 7]           1,984
            ReLU-360            [-1, 992, 7, 7]               0
          Conv2d-361            [-1, 128, 7, 7]         126,976
     BatchNorm2d-362            [-1, 128, 7, 7]             256
            ReLU-363            [-1, 128, 7, 7]               0
          Conv2d-364             [-1, 32, 7, 7]          36,864
     BatchNorm2d-365           [-1, 1024, 7, 7]           2,048
          Linear-366                 [-1, 1000]       1,025,000
================================================================
Total params: 7,978,856
Trainable params: 7,978,856
Non-trainable params: 0
----------------------------------------------------------------
Input size (MB): 0.57
Forward/backward pass size (MB): 294.20
Params size (MB): 30.44
Estimated Total Size (MB): 325.21
----------------------------------------------------------------
In [14]:
# Freeze parameters so we don't backprop through them
for param in model.parameters():
    param.requires_grad = False

'''classifier = nn.Sequential(OrderedDict([
    ('dropout',nn.Dropout(0.3)),
    ('inputs', nn.Linear(1024, 512)),
    ('relu1', nn.ReLU()),
    ('hidden_layer1', nn.Linear(512, 256)),
    ('relu2',nn.ReLU()),
    ('hidden_layer2',nn.Linear(256,128)),
    ('relu3',nn.ReLU()),
    ('hidden_layer3',nn.Linear(128,102)),
    ('output', nn.LogSoftmax(dim=1))

]))
model.classifier = classifier'''

LEARNING_RATE = 0.001

def get_model(structure='densenet121', dropout=0.3, hidden_layer1 = 512, lr = LEARNING_RATE):
    if structure == 'vgg16':
        model = models.vgg16(pretrained = True)        
    elif structure == 'densenet121':
        model = models.densenet121(pretrained = True)
    elif structure == 'alexnet':
        model = models.alexnet(pretrained = True)
    else:
        print("The model is not expected".format(structure))
        
    for param in model.parameters():
        param.requires_grad = False

        classifier = nn.Sequential(OrderedDict([
            ('dropout',nn.Dropout(dropout)),
            ('inputs', nn.Linear(1024, hidden_layer1)),
            ('relu1', nn.ReLU()),
            ('hidden_layer1', nn.Linear(hidden_layer1, 256)),
            ('relu2',nn.ReLU()),
            ('hidden_layer2',nn.Linear(256, 128)),
            ('relu3',nn.ReLU()),
            ('hidden_layer3',nn.Linear(128, 102)),
            ('output', nn.LogSoftmax(dim=1))
        ]))
             
        model.classifier = classifier        
        model.cuda()
        
        return model
In [15]:
# Training

def training(model, criterion, optimizer, training_loader, validation_loader, epochs = 10):
    # Putting the model into training mode
    model.train() 
    print_every = 10
    steps = 0
    
    # Iterates through each training pass based on #epochs & GPU/CPU
    for epoch in range(epochs):
        running_loss = 0
        for inputs, labels in iter(training_loader):
            steps += 1
            inputs = Variable(inputs.float().cuda())
            labels = Variable(labels.long().cuda()) 

            # Forward and backward passes
            optimizer.zero_grad() 
            output = model.forward(inputs) # Forward propogation
            loss = criterion(output, labels) # Calculates loss
            loss.backward() # Calcule the gradient
            optimizer.step() # Update the weights based on the gradient and the learning rate
            running_loss += loss.item()

            if steps % print_every == 0:
                validation_loss, accuracy = validating(model, criterion, validation_loader)

                print("Epoch: {}/{} ".format(epoch + 1, epochs),
                        "Training Loss: {:.3f} ".format(running_loss/print_every),
                        "Validation Loss: {:.3f} ".format(validation_loss),
                        "Validation Accuracy: {:.3f}".format(accuracy))
In [16]:
def validating(model, criterion, data_loader):
    test_loss = 0
    accuracy = 0
    # Set validation mode to the model
    model.eval()
    
    with torch.no_grad():
        for inputs, labels in data_loader:
            inputs = Variable(inputs.float().cuda())
            labels = Variable(labels.long().cuda()) 

            output = model.forward(inputs)
            test_loss += criterion(output, labels).item()
            ps = torch.exp(output).data
            equality = (labels.data == ps.max(1)[1])
            accuracy += equality.type_as(torch.FloatTensor()).mean()

    return test_loss/len(data_loader), accuracy/len(data_loader)
In [17]:
epochs = 6
if use_gpu:
    print ("Using GPU: "+ str(use_gpu))
    model = model.cuda()
Using GPU: True
In [18]:
criterion = nn.CrossEntropyLoss() #nn.NLLLoss()
model = get_model('densenet121')
optimizer = optim.Adam(model.classifier.parameters(), LEARNING_RATE)
/opt/conda/lib/python3.6/site-packages/torchvision-0.2.1-py3.6.egg/torchvision/models/densenet.py:212: UserWarning: nn.init.kaiming_normal is now deprecated in favor of nn.init.kaiming_normal_.
In [19]:
with active_session():
    training(model, criterion, optimizer, dataloaders['training'], dataloaders['validation'], epochs)
Epoch: 1/6  Training Loss: 4.593  Validation Loss: 4.531  Validation Accuracy: 0.022
Epoch: 1/6  Training Loss: 9.137  Validation Loss: 4.460  Validation Accuracy: 0.034
Epoch: 1/6  Training Loss: 13.535  Validation Loss: 4.279  Validation Accuracy: 0.076
Epoch: 1/6  Training Loss: 17.717  Validation Loss: 4.032  Validation Accuracy: 0.130
Epoch: 1/6  Training Loss: 21.750  Validation Loss: 3.739  Validation Accuracy: 0.147
Epoch: 1/6  Training Loss: 25.399  Validation Loss: 3.470  Validation Accuracy: 0.201
Epoch: 1/6  Training Loss: 28.838  Validation Loss: 3.170  Validation Accuracy: 0.267
Epoch: 1/6  Training Loss: 32.013  Validation Loss: 2.821  Validation Accuracy: 0.299
Epoch: 1/6  Training Loss: 34.976  Validation Loss: 2.529  Validation Accuracy: 0.365
Epoch: 1/6  Training Loss: 37.663  Validation Loss: 2.357  Validation Accuracy: 0.394
Epoch: 2/6  Training Loss: 1.638  Validation Loss: 2.174  Validation Accuracy: 0.399
Epoch: 2/6  Training Loss: 3.818  Validation Loss: 1.927  Validation Accuracy: 0.480
Epoch: 2/6  Training Loss: 5.826  Validation Loss: 1.684  Validation Accuracy: 0.566
Epoch: 2/6  Training Loss: 7.731  Validation Loss: 1.541  Validation Accuracy: 0.586
Epoch: 2/6  Training Loss: 9.522  Validation Loss: 1.513  Validation Accuracy: 0.580
Epoch: 2/6  Training Loss: 11.337  Validation Loss: 1.597  Validation Accuracy: 0.548
Epoch: 2/6  Training Loss: 13.104  Validation Loss: 1.413  Validation Accuracy: 0.614
Epoch: 2/6  Training Loss: 14.733  Validation Loss: 1.300  Validation Accuracy: 0.621
Epoch: 2/6  Training Loss: 16.329  Validation Loss: 1.453  Validation Accuracy: 0.580
Epoch: 2/6  Training Loss: 17.821  Validation Loss: 1.206  Validation Accuracy: 0.663
Epoch: 3/6  Training Loss: 0.587  Validation Loss: 1.154  Validation Accuracy: 0.689
Epoch: 3/6  Training Loss: 1.822  Validation Loss: 1.155  Validation Accuracy: 0.684
Epoch: 3/6  Training Loss: 3.087  Validation Loss: 1.115  Validation Accuracy: 0.661
Epoch: 3/6  Training Loss: 4.391  Validation Loss: 1.147  Validation Accuracy: 0.670
Epoch: 3/6  Training Loss: 5.607  Validation Loss: 1.014  Validation Accuracy: 0.709
Epoch: 3/6  Training Loss: 6.682  Validation Loss: 1.030  Validation Accuracy: 0.694
Epoch: 3/6  Training Loss: 7.764  Validation Loss: 0.846  Validation Accuracy: 0.776
Epoch: 3/6  Training Loss: 8.808  Validation Loss: 0.858  Validation Accuracy: 0.755
Epoch: 3/6  Training Loss: 9.980  Validation Loss: 0.948  Validation Accuracy: 0.734
Epoch: 3/6  Training Loss: 11.083  Validation Loss: 0.889  Validation Accuracy: 0.734
Epoch: 4/6  Training Loss: 0.069  Validation Loss: 0.842  Validation Accuracy: 0.752
Epoch: 4/6  Training Loss: 1.071  Validation Loss: 0.792  Validation Accuracy: 0.773
Epoch: 4/6  Training Loss: 1.964  Validation Loss: 0.775  Validation Accuracy: 0.768
Epoch: 4/6  Training Loss: 2.942  Validation Loss: 0.752  Validation Accuracy: 0.786
Epoch: 4/6  Training Loss: 3.844  Validation Loss: 0.834  Validation Accuracy: 0.777
Epoch: 4/6  Training Loss: 4.822  Validation Loss: 0.764  Validation Accuracy: 0.789
Epoch: 4/6  Training Loss: 5.861  Validation Loss: 0.701  Validation Accuracy: 0.793
Epoch: 4/6  Training Loss: 6.774  Validation Loss: 0.751  Validation Accuracy: 0.797
Epoch: 4/6  Training Loss: 7.635  Validation Loss: 0.650  Validation Accuracy: 0.825
Epoch: 4/6  Training Loss: 8.404  Validation Loss: 0.712  Validation Accuracy: 0.793
Epoch: 4/6  Training Loss: 9.193  Validation Loss: 0.723  Validation Accuracy: 0.790
Epoch: 5/6  Training Loss: 0.587  Validation Loss: 0.692  Validation Accuracy: 0.800
Epoch: 5/6  Training Loss: 1.371  Validation Loss: 0.685  Validation Accuracy: 0.795
Epoch: 5/6  Training Loss: 2.170  Validation Loss: 0.671  Validation Accuracy: 0.808
Epoch: 5/6  Training Loss: 3.025  Validation Loss: 0.614  Validation Accuracy: 0.844
Epoch: 5/6  Training Loss: 3.764  Validation Loss: 0.681  Validation Accuracy: 0.808
Epoch: 5/6  Training Loss: 4.482  Validation Loss: 0.594  Validation Accuracy: 0.824
Epoch: 5/6  Training Loss: 5.192  Validation Loss: 0.574  Validation Accuracy: 0.835
Epoch: 5/6  Training Loss: 5.979  Validation Loss: 0.556  Validation Accuracy: 0.838
Epoch: 5/6  Training Loss: 6.741  Validation Loss: 0.571  Validation Accuracy: 0.827
Epoch: 5/6  Training Loss: 7.459  Validation Loss: 0.656  Validation Accuracy: 0.817
Epoch: 6/6  Training Loss: 0.362  Validation Loss: 0.645  Validation Accuracy: 0.834
Epoch: 6/6  Training Loss: 1.088  Validation Loss: 0.641  Validation Accuracy: 0.827
Epoch: 6/6  Training Loss: 1.776  Validation Loss: 0.571  Validation Accuracy: 0.844
Epoch: 6/6  Training Loss: 2.510  Validation Loss: 0.546  Validation Accuracy: 0.858
Epoch: 6/6  Training Loss: 3.143  Validation Loss: 0.563  Validation Accuracy: 0.839
Epoch: 6/6  Training Loss: 3.884  Validation Loss: 0.522  Validation Accuracy: 0.851
Epoch: 6/6  Training Loss: 4.595  Validation Loss: 0.530  Validation Accuracy: 0.856
Epoch: 6/6  Training Loss: 5.225  Validation Loss: 0.545  Validation Accuracy: 0.835
Epoch: 6/6  Training Loss: 5.975  Validation Loss: 0.503  Validation Accuracy: 0.857
Epoch: 6/6  Training Loss: 6.543  Validation Loss: 0.530  Validation Accuracy: 0.855

Testing your network

It's good practice to test your trained network on test data, images the network has never seen either in training or validation. This will give you a good estimate for the model's performance on completely new images. Run the test images through the network and measure the accuracy, the same way you did validation. You should be able to reach around 70% accuracy on the test set if the model has been trained well.

In [20]:
# TODO: Do validation on the test set
validation_criterion = nn.NLLLoss()
validating(model, validation_criterion, dataloaders['validation'])
Out[20]:
(0.6214943642799671, tensor(0.8278))

Save the checkpoint

Now that your network is trained, save the model so you can load it later for making predictions. You probably want to save other things such as the mapping of classes to indices which you get from one of the image datasets: image_datasets['train'].class_to_idx. You can attach this to the model as an attribute which makes inference easier later on.

model.class_to_idx = image_datasets['train'].class_to_idx

Remember that you'll want to completely rebuild the model later so you can use it for inference. Make sure to include any information you need in the checkpoint. If you want to load the model and keep training, you'll want to save the number of epochs as well as the optimizer state, optimizer.state_dict. You'll likely want to use this trained model in the next part of the project, so best to save it now.

In [22]:
# TODO: Save the checkpoint 
model.class_to_idx = image_datasets['training'].class_to_idx
checkpoint = {'epochs': epochs,
              'batch_size': BATCH_SIZE,
              'classifier': model.classifier,
              'structure' : 'densenet121',
              #'hidden_layer1': 512,
              'optimizer': optimizer.state_dict(),
              'state_dict': model.state_dict(), # Holds all the weights and biases
              'class_to_idx': model.class_to_idx
             }

torch.save(checkpoint, 'checkpoint.pth')
In [23]:
print(model.state_dict())
OrderedDict([('features.conv0.weight', tensor([[[[ 7.8276e-02,  1.4949e-01,  1.6611e-01,  ...,  1.7676e-01,
            1.6588e-01,  1.4101e-01],
          [ 1.7546e-01,  2.4408e-01,  2.5000e-01,  ...,  2.7452e-01,
            2.5245e-01,  2.2199e-01],
          [ 1.2331e-01,  1.6441e-01,  1.4922e-01,  ...,  1.6301e-01,
            1.6191e-01,  1.4061e-01],
          ...,
          [-1.0461e-01, -1.2065e-01, -1.1969e-01,  ..., -1.1355e-01,
           -1.1181e-01, -1.1653e-01],
          [-1.4747e-01, -1.8658e-01, -1.8272e-01,  ..., -2.1694e-01,
           -2.0213e-01, -1.8302e-01],
          [-2.0729e-01, -2.7118e-01, -2.8157e-01,  ..., -2.8711e-01,
           -2.4883e-01, -2.2605e-01]],

         [[ 1.6418e-01,  2.4814e-01,  2.6538e-01,  ...,  2.7358e-01,
            2.5693e-01,  2.2483e-01],
          [ 2.4226e-01,  3.2158e-01,  3.2346e-01,  ...,  3.4569e-01,
            3.1805e-01,  2.8128e-01],
          [ 1.5825e-01,  2.0253e-01,  1.8364e-01,  ...,  1.9484e-01,
            1.8966e-01,  1.6964e-01],
          ...,
          [-1.2547e-01, -1.8073e-01, -1.8958e-01,  ..., -1.7603e-01,
           -1.7623e-01, -1.7415e-01],
          [-1.8183e-01, -2.6247e-01, -2.6084e-01,  ..., -2.9753e-01,
           -2.7600e-01, -2.4196e-01],
          [-2.4014e-01, -3.3787e-01, -3.6857e-01,  ..., -3.6870e-01,
           -3.1372e-01, -2.7300e-01]],

         [[ 4.3790e-02,  1.1260e-01,  1.2304e-01,  ...,  1.1773e-01,
            1.1248e-01,  9.2860e-02],
          [ 1.3078e-01,  2.0256e-01,  1.8976e-01,  ...,  2.0730e-01,
            1.9033e-01,  1.6014e-01],
          [ 8.7673e-02,  1.3089e-01,  1.0913e-01,  ...,  1.1802e-01,
            1.0854e-01,  9.1808e-02],
          ...,
          [-8.0166e-02, -1.2586e-01, -1.1267e-01,  ..., -1.0376e-01,
           -1.0435e-01, -1.1052e-01],
          [-7.5893e-02, -1.3055e-01, -1.2621e-01,  ..., -1.5039e-01,
           -1.4016e-01, -1.1602e-01],
          [-1.1338e-01, -1.7756e-01, -1.9754e-01,  ..., -1.9402e-01,
           -1.6118e-01, -1.2721e-01]]],


        [[[ 1.4191e-02,  2.0846e-02,  2.0331e-02,  ..., -9.0996e-03,
           -1.4352e-02, -2.7588e-03],
          [ 5.4299e-03, -2.4951e-03, -5.6107e-03,  ..., -4.2277e-02,
           -6.1752e-04, -1.6583e-03],
          [-2.1288e-02, -4.8074e-02, -6.1015e-02,  ...,  7.7539e-02,
            8.0279e-02,  5.2814e-02],
          ...,
          [ 9.7766e-03,  1.9108e-02, -1.5814e-02,  ..., -4.4661e-01,
           -3.4646e-01, -1.5702e-01],
          [-2.7226e-02, -1.4129e-01, -2.3819e-01,  ...,  2.0699e-02,
            1.3012e-01,  7.2974e-02],
          [-2.3009e-02,  3.8790e-02,  1.3627e-01,  ...,  9.8952e-02,
            3.7285e-02,  1.3395e-02]],

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        ...,


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Loading the checkpoint

At this point it's good to write a function that can load a checkpoint and rebuild the model. That way you can come back to this project and keep working on it without having to retrain the network.

In [24]:
# TODO: Write a function that loads a checkpoint and rebuilds the model
def load_model(path):
    checkpoint = torch.load(path)
    
    structure = checkpoint['structure']    
    loaded_model = get_model(structure)
    loaded_model.class_to_idx = checkpoint['class_to_idx']
    loaded_model.load_state_dict(checkpoint['state_dict'])
    loaded_model.classifier = checkpoint['classifier']
    
    optimizer = checkpoint['optimizer']
    epochs = checkpoint['epochs']
    
    for param in model.parameters():
        param.requires_grad = False
        
    return model, optimizer, epochs
    
loaded_model, loaded_optimizer, epochs = load_model('checkpoint.pth')  
#print(loaded_model)
print(loaded_model.state_dict())
/opt/conda/lib/python3.6/site-packages/torchvision-0.2.1-py3.6.egg/torchvision/models/densenet.py:212: UserWarning: nn.init.kaiming_normal is now deprecated in favor of nn.init.kaiming_normal_.
OrderedDict([('features.conv0.weight', tensor([[[[ 7.8276e-02,  1.4949e-01,  1.6611e-01,  ...,  1.7676e-01,
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            2.5245e-01,  2.2199e-01],
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           -2.4883e-01, -2.2605e-01]],

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            1.9033e-01,  1.6014e-01],
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            1.0854e-01,  9.1808e-02],
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          [-1.1338e-01, -1.7756e-01, -1.9754e-01,  ..., -1.9402e-01,
           -1.6118e-01, -1.2721e-01]]],


        [[[ 1.4191e-02,  2.0846e-02,  2.0331e-02,  ..., -9.0996e-03,
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        ...,


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Inference for classification

Now you'll write a function to use a trained network for inference. That is, you'll pass an image into the network and predict the class of the flower in the image. Write a function called predict that takes an image and a model, then returns the top $K$ most likely classes along with the probabilities. It should look like

probs, classes = predict(image_path, model)
print(probs)
print(classes)
> [ 0.01558163  0.01541934  0.01452626  0.01443549  0.01407339]
> ['70', '3', '45', '62', '55']

First you'll need to handle processing the input image such that it can be used in your network.

Image Preprocessing

You'll want to use PIL to load the image (documentation). It's best to write a function that preprocesses the image so it can be used as input for the model. This function should process the images in the same manner used for training.

First, resize the images where the shortest side is 256 pixels, keeping the aspect ratio. This can be done with the thumbnail or resize methods. Then you'll need to crop out the center 224x224 portion of the image.

Color channels of images are typically encoded as integers 0-255, but the model expected floats 0-1. You'll need to convert the values. It's easiest with a Numpy array, which you can get from a PIL image like so np_image = np.array(pil_image).

As before, the network expects the images to be normalized in a specific way. For the means, it's [0.485, 0.456, 0.406] and for the standard deviations [0.229, 0.224, 0.225]. You'll want to subtract the means from each color channel, then divide by the standard deviation.

And finally, PyTorch expects the color channel to be the first dimension but it's the third dimension in the PIL image and Numpy array. You can reorder dimensions using ndarray.transpose. The color channel needs to be first and retain the order of the other two dimensions.

In [25]:
def process_image(image):
    ''' Scales, crops, and normalizes a PIL image for a PyTorch model,
        returns an Numpy array
    '''
    # TODO: Process a PIL image for use in a PyTorch model
    img_pil = Image.open(image)
   
    adjustments = transforms.Compose([
        transforms.Resize(RESIZE),
        transforms.CenterCrop(CROP_SIZE),
        transforms.ToTensor(),
        transforms.Normalize(mean=MEANS, std=ST_DEV)
    ])
    
    img_tensor = adjustments(img_pil)
    
    return img_tensor


img = (data_dir + '/test' + '/1/' + 'image_06743.jpg')
img = process_image(img)
print(img.shape)
torch.Size([3, 224, 224])

To check your work, the function below converts a PyTorch tensor and displays it in the notebook. If your process_image function works, running the output through this function should return the original image (except for the cropped out portions).

In [26]:
def imshow(image, ax=None, title=None):
    """Imshow for Tensor."""
    if ax is None:
        fig, ax = plt.subplots()
    
    # PyTorch tensors assume the color channel is the first dimension
    # but matplotlib assumes is the third dimension
    image = image.numpy().transpose((1, 2, 0))
    
    # Undo preprocessing
    mean = np.array([0.485, 0.456, 0.406])
    std = np.array([0.229, 0.224, 0.225])
    image = std * image + mean
    
    # Image needs to be clipped between 0 and 1 or it looks like noise when displayed
    image = np.clip(image, 0, 1)
    
    ax.imshow(image)
    
    return ax
In [27]:
imshow(process_image("flowers/test/1/image_06743.jpg"))
Out[27]:
<matplotlib.axes._subplots.AxesSubplot at 0x7f717bcba128>

Class Prediction

Once you can get images in the correct format, it's time to write a function for making predictions with your model. A common practice is to predict the top 5 or so (usually called top-$K$) most probable classes. You'll want to calculate the class probabilities then find the $K$ largest values.

To get the top $K$ largest values in a tensor use x.topk(k). This method returns both the highest k probabilities and the indices of those probabilities corresponding to the classes. You need to convert from these indices to the actual class labels using class_to_idx which hopefully you added to the model or from an ImageFolder you used to load the data (see here). Make sure to invert the dictionary so you get a mapping from index to class as well.

Again, this method should take a path to an image and a model checkpoint, then return the probabilities and classes.

probs, classes = predict(image_path, model)
print(probs)
print(classes)
> [ 0.01558163  0.01541934  0.01452626  0.01443549  0.01407339]
> ['70', '3', '45', '62', '55']
In [28]:
def predict(image_path, model, topk=5):
    ''' Predict the class (or classes) of an image using a trained deep learning model.
    '''
    
    # TODO: Implement the code to predict the class from an image file
    model.to('cuda:0')
    img_tensor = process_image(image_path)
    img_tensor = img_tensor.unsqueeze_(0)
    img_tensor = img_tensor.float()
    
    with torch.no_grad():
        output = model.forward(img_tensor.cuda())
        
    probability = F.softmax(output.data, dim=1)
    
    return probability.topk(topk)
In [29]:
img = (data_dir + '/test' + '/2/' + 'image_05100.jpg')
val1, val2 = predict(img, model)
print(val1)
print(val2)
tensor([[ 0.9798,  0.0150,  0.0017,  0.0009,  0.0005]], device='cuda:0')
tensor([[ 14,  37,  77,  42,  50]], device='cuda:0')
In [30]:
img = (data_dir + '/test' + '/2/' + 'image_05100.jpg')
val1, val2 = predict(img, loaded_model)
print(val1)
print(val2)
tensor([[ 0.9798,  0.0150,  0.0017,  0.0009,  0.0005]], device='cuda:0')
tensor([[ 14,  37,  77,  42,  50]], device='cuda:0')
In [31]:
img = (data_dir + '/test' + '/2/' + 'image_05107.jpg')
val1, val2 = predict(img, model)
print(val1)
print(val2)
tensor([[ 0.9611,  0.0213,  0.0063,  0.0031,  0.0017]], device='cuda:0')
tensor([[ 14,  69,  68,  78,  42]], device='cuda:0')
In [32]:
img = (data_dir + '/test' + '/2/' + 'image_05107.jpg')
val1, val2 = predict(img, loaded_model)
print(val1)
print(val2)
tensor([[ 0.9611,  0.0213,  0.0063,  0.0031,  0.0017]], device='cuda:0')
tensor([[ 14,  69,  68,  78,  42]], device='cuda:0')

Sanity Checking

Now that you can use a trained model for predictions, check to make sure it makes sense. Even if the testing accuracy is high, it's always good to check that there aren't obvious bugs. Use matplotlib to plot the probabilities for the top 5 classes as a bar graph, along with the input image. It should look like this:

You can convert from the class integer encoding to actual flower names with the cat_to_name.json file (should have been loaded earlier in the notebook). To show a PyTorch tensor as an image, use the imshow function defined above.

In [59]:
# TODO: Display an image along with the top 5 classes
def sanity_check(model, path):
    probabilities = predict(path, model)
    image = Image.open(path)
    img_filename = path.split('/')[-2]
    fig, (ax1, ax2) = plt.subplots(figsize=(6,10), ncols=1, nrows=2)
    ax1.set_title(cat_to_name[img_filename])
    ax1.imshow(image)
    ax1.axis('off')
    
    y_pos = np.arange(len(probabilities))
    a = np.array(probabilities[0][0])
    names = [cat_to_name[str(index + 1)] for index in np.array(probabilities[1][0])]
    N=float(len(names))
    tickLocations = np.arange(N)
    ax2.bar(tickLocations, a, align='center')
    ax2.set_title('Class Probability')
    ax2.set_xticks(ticks = tickLocations)
    ax2.set_xticklabels(names)
    ax2.set_xlim(min(tickLocations)-0.6,max(tickLocations)+0.6)
    ax2.set_yticks([0.2,0.4,0.6,0.8,1,1.2])
    ax2.set_ylim((0,1))

image_path = test_dir + '/2/image_05100.jpg'
sanity_check(loaded_model, image_path)
In [60]:
image_path = test_dir + '/2/image_05107.jpg'
sanity_check(loaded_model, image_path)
In [ ]: